An Introduction to Differentials Based on Hyperreal Numbers and Infinite Microscopes

@article{Henry2009AnIT,
  title={An Introduction to Differentials Based on Hyperreal Numbers and Infinite Microscopes},
  author={V. Henry},
  journal={PRIMUS},
  year={2009},
  volume={20},
  pages={39 - 49}
}
Abstract In this article, we propose to introduce the differential of a function through a non-classical way, lying on hyperreals and infinite microscopes. This approach is based on the developments of nonstandard analysis, wants to be more intuitive than the classical one and tries to emphasize the functional and geometric aspects of the differential. In the second part of the work, we analyze the results of an experiment made with undergraduate students who had been taught calculus by a non… Expand
1 Citations
Analyzing Mathematicians' Concept Images of Differentials
Analyzing Mathematicians' Concept Images of Differentials

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